With this choice, the MSD (for one-dimensional motion in the absence
of \(F(x(t), \lambda (t))\)  and \(x(t=0)=0\) ) is given as \(\langle x^2(t)\rangle = 2K_\alpha t^ \alpha \)  [1]}, indicating the
possibility of generating sub- or superdiffusive processes when
choosing \(\alpha \)  smaller or greater than unity, respectively.
For \(\alpha =1\) , one recovers standard Brownian motion with
\(K(t)=K_1=D\) .
